What is 2log_{x}(-3log_{10}(x+1)) ?

The solution to 2log_{x}(-3log_{10}(x+1)) is 2log_{x}(3)+2log_{x}(log_{10}(x+1))

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simplify 2log_{x}(-3log_{10}(x+1))

simplify

2 lo g_{x} (- 3 lo g_{10} (x + 1))

2 lo g_{x} (3) + 2 lo g_{x} (lo g_{10} (x + 1))

Solution steps

2 lo g_{x} (- 3 lo g_{10} (x + 1))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

2 lo g_{x} (- 3 lo g_{10} (x + 1)) = 2 lo g_{x} (3) + 2 lo g_{x} (lo g_{10} (x + 1))

= 2 lo g_{x} (3) + 2 lo g_{x} (lo g_{10} (x + 1))

\frac{19.16}{0.0004 \cdot 0.02} ln (\frac{1}{1 - 0.9})

2 (lo g_{7} (x) + 3 lo g_{7} (y) - 5 lo g_{7} (z))

4.18 \cdot ln (\frac{343.15}{278.15})

ln (2 \cdot ln (4))

\frac{1}{0.76} ln (\frac{29.41}{14.705})

What is 2log_{x}(-3log_{10}(x+1)) ?
The solution to 2log_{x}(-3log_{10}(x+1)) is 2log_{x}(3)+2log_{x}(log_{10}(x+1))